A rectangle is inscribed in an ellipse so that two of its sides pass through the foci. If the x2 equation of the ellipse is += 1, find the area of the rectangle. 36 25

Q: Find the foci, vertices and center of the ellipse x2 + 2Y? + 2X - 8Y + 1 = 0

A: Given: x2+2y2+2x-8y+1=0 for finding foci, vertices and center of the ellipse, first we convert given…

Q: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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Q: Which is the constant sum of an ellipse with foci F,(-2, 3) and F, (5. – 1) and the point on the…

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Q: The arch of a tunnel is in the form of a semi-ellipse. The distance between the bases of the arch is…

A: From the given information the current situation can be represents as shown below, From the above…

Q: An arch in the form of a semi-ellipse is 50 feet wide at the base and has the height of 16 feet.…

A: Solve for the

Q: nd an equation of a sphere if one of its diameters has endpoints (54.

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Q: b. Find all the parts of the ellipse and plot the graph of the ellipse with the equation. (x-2)² ¸…

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Q: 5. Find the vertices and foci of the ellipse given by the equation. 4x +9y² - 32x–36y+64=0

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Q: Convert the equation 4x2 + 9y2 - 32x + 36y + 64 = 0 to standard form by completing the square on x…

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Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11…

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Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

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Q: Find an equation of the form ax? + by? = c for the ellipse that passes through the given points. (2,…

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Q: Find the perimeter of the ellipse x2/a2 +y2/b2 = 1, where a > b > 0.

A: The perimeter of Ellipse with Radii a and b is given by: In our question the radii is a and b Hence…

Q: find the length of the major axis and the length of the minor axis of each ellipse. x2 - 4x + 9y2 +…

A: Given equation of ellipse is: x2 - 4x + 9y2 + 54y + 76 = 0 Then rearranging the terms we get,…

Q: a hyperbola has an equation of 4x^2-y^2=256, find the eccentricity asap

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Q: The area of the ellipse is given as A = ab. Find the area of the ellipse 25x² +16y² - 100x + 32y =…

A: given equation of ellispe 25x2+16y2-100x+32y=284

Q: Convert the equation 25x2 + 4y2 - 150x + 32y + 189 = 0 to standard form by completing the square on…

A: Given: The equation of ellipse as 25x2+4y2-150x+32y+189=0 To find: the standard equation of ellipse,…

Q: The area of the ellipse of b? 2 + = 1 is 32π. If a=2b, what is the value b2

A: Given that the standard question of ellipse and area of the ellipse is 32(pai) where a=2b  To find…

Q: x² y²=1? What is the area of the ellipse: + 36 16

A: For the calculation of area of ellipse,

Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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Q: The equation of an ellipse centered at the origin is y² = 1, 62 where a and b are distances from the…

A: MATLAB is used as calculator to calculate the results for the algebraic expressions  by typing the…

Q: (b) Find the evolute of the parabola y? = 4ax.

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Q: 26. Find the area of the largest rectangle that can be inscribed in the ellipse x²/a² + y°/b² = 1.

A: Topic- application of derivatives to find maximum area

Q: Find the center of the ellipse with the equation 49 (x-3)2 (y-2)? 64 1. ||

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Q: (b) Find the evolute of the ellipse x2 y? =D1

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse x2 1. b2 +

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Q: A wire has a shape of an ellipse described by 4r2 + y? = 8. The tempe

A: Given, a wire has a shape of an ellipse described by                                    4x2+y2=8.…

Q: Determine if 36x² 36 is an ellipse. Ellipse O Not an Ellipse (x – h)² (y – k)² If it is an ellipse,…

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Q: 5. Find the Foci and Vertices of the Ellipse and sketch it, if the Equation is 16x? + 64y? = 256 %3D

A: see the calculation

Q: The area of the ellipse is given as A = nab. Find the area of the ellipse 25x2 + 16y2 - 100x + 32y…

A: It is given that the area of the ellipse is given by the formula A=π·a·b, where a is the length of…

Q: The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the…

A: Solution : We have given a ellipese which width is 150m and height is 54m. We have to find out a…

Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

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Q: Find the point on the ellipse x? + 4y? + 2xy = 12 with the greatest x-coordinate. (Use decimal…

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Q: A geometry teacher wants to draw a rectangle inscribed in the ellipse x? + 4y² = 16. What is the…

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Q: 19. State whether the graph of the equation below is an ellipse, circle, parabola, or hyperbola. 2x…

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Q: The circumference of an ellipse is approximated by C = 27T/t0 where 2a and 2b are the lengths of 2.…

A: In this question we are given with the circumference of ellipse and we have to find the lengths of…

Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.x2 + 2y2 + 2x - 20y +…

A: Given x2 + 2y2 + 2x - 20y + 43 = 0

Q: A pool is built in the shape of an ellipse, centered at the origin. The maximum vertical length is…

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Q: Q9: Show that in an ellipse b2 = a² (1 – e? ).

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Q: 10) Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola: 4x2 + 25y2 +…

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Q: Find the length of the minor axis of the ellipse 8x2 + 3y2 = 72.

A: Given: 8x2+3y2=72 To Find: The length of the minor axis of the given ellipse

Q: x2 y? + = 1 36 49

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Q: Find the vertices and foci of the ellipse: 6. (x-1) (y+3)? = 1. Round to nearest tenth if…

A: Given- x-129+y+3236=1 To Find- The vertices and focii of the ellipse.

Q: (x-3)? (y+1)² = 1? 16 25

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Q: find the general form of an ellipse. The sum of the distances from the two foci (-5,0) and (5,0) is…

A: This question is based on ellipse equation.

Q: 6. What is the length of the major axis of the ellipse with the equation (x-1)? +(y-3)=9? 4. a. 2 b.…

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Q: As viewed from above, a swimming pool has the shape of the ellipse given by x? + 1600 900

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Q: Find the foci of the ellipse (x+1)² (y+5) ² 28 23 + =1

A: We can find the foci in the below steps.